2. What is the solution to the equation
1/2x + 3/2(x+1) - 1/4=5?
The answer to this question is
x=15/8
1/2x+3/2(x+1)-1/4=5
1/2x+3/2(x+1)-1/4=5
(1/2x+3/2x)+3/2-(1/4)=5
4/2x+3/2-(1/4)=5
4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)
4/2x+0=5-(3/2–1/4)
2x=5-(6/4–1/4)
2x=5-(5/4)
2x=3 3/4
2x/2=(3 3/4)/2
x=15/4(1/2)
x=15/8
1/2x+3/2(x+1)-1/4=5 (Expand the polynomial)
(1/2x+3/2x)+3/2-(1/4)=5
4/2x+3/2-(1/4)=5
4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)
4/2x+0=5-(3/2–1/4) (Express the fractions on the right side of the equation in the common denominator 4)
2x=5-(6/4–1/4)
2x=5-(5/4)
2x=3 3/4
2x/2=(3 3/4)/2
x=15/4(1/2)
x=
15/8 or 1 7/8 as a mixed fraction or 1.875 as a decimal numeral
PROOF
If x=15/8, then the inverse of the equation 1/2x+3/2(x+1)-1/4=5 returns
2x+(6/4–1/4)=5
2(15/8)+(6/4–1/4)=5
15/4+(5/4)=5
(15+5)/4=5
20/4=5 and
5=5 proves the root (zero) x=15/8 of the statement 1/2x+3/2(x+1)-1/4=5
C.H.
1/2x+3/2(x+1) --1/4=5
1/2 (1/x+3/ (x+1) =5+1/4
1/x + 3/x+1 =(5+1/4) ×2/1
x+ 1 +3x /x (x+1) = 10+1/2 =21/2
4x+1 = 21/2 [x^2+x]
8x+2= 21x^2+21x
21x^2 +-13 x -2 =0
a =21 b= 13 c= -2
X= [13 + -- (169 -- 4×21× -2)^1/2 ] /2×21
=[13 + - ( 169 + 168 )^1/2] /2×21
Discriminat =169+168=337 >0
Someone please help with this question!
A bakery used 475 pounds of apples to make 1,000 apple tarts. Each tart contains the same amount of apples. How many apples are used in each tart?
Answer:
There are 0.475 pounds of apples in each tart.
I arrived in this number by dividing the total number of pounds by the total number of tarts made.
475 pounds divided by 1000 tarts is equal to 0.475 pounds per tart.
475 lbs/1000 tarts = 0.475 lbs/tart
So, if you are to bake a certain number of tarts and need to know the total number of pounds of apple needed to bake you can use this equation.
y = 0.475x
where y represents the total number of pounds needed to bake x number of tarts with a fixed 0.475 pounds per tart.
Step-by-step explanation:
what’s the percentage help me please
DOES ANYONE KNOW WEDNESDAYS QUESTION PLS HELP I HAVE 5 minutes
Answer:
-1/2Step-by-step explanation:
Hope this helps!! Please consider marking brainliest! Have a good one!!
triangle pqr is an iscosceles triangle with the coordinates p(2,3), q(5,10), and r(8,3). what is the area of triangle pqr ?
Answer:
idek
Step-by-step explanation:
please help me with this question
Answer:
12cm
Step-by-step explanation:
You can draw a triangle with hypotenusa 13, height h and base 5 (the difference between the radius 9 and 4). Then pythagoras tells us that
13² = h² + 5²
so
h = 13² - 5² = √144 = 12
factor completely 24x^2+16x-30
Answer:
2(2x+3)(6x-5)
Step-by-step explanation:
2(12x²+8x²-15)
2(12x²+18x-10x-15)
2(6x(2x+3)-5(2x+3))
2(2x+3)(6x-5)
5<-2t-3 Need steps and the answer
Answer:
t<−4
Step-by-step explanation:
switch sides
-2t-3>5
then add three to both sides:
-2t-3+3>5+3
simplify:
-2t>8
then multiply both sides -1 (reverse the inequality)
(-2t)(-1) <8 (-1\)
simplify:
2t<-8
Divide both sides by 2:
2t/2 <-8/2
Answer:&&&&&&
SOrry dont know buddy
Step-by-step explanation:
3)
AY
-2 -
1341
zero
O negative
O undefined
O positive
Answer:
the answer is zero
hope this helps:)
Answer:
jsjxjxjsjdk d djdjsjjffjKns
Anasia is a basketball player who regularly shoots sets of 2 free-throws. Suppose that each shot has probability
0.7 of being made, and the results of the shots are independent.
The table below displays the probability distribution of X, the number of shots that Anasia makes in a set of 2
attempts.
2
X=of makes 0 1
P(X)
0.09 0.42
0.49
Given that r = 1.4 makes, find the standard deviation of the number of shots that Anasia makes.
Round your answer to two decimal places
shots
Answer:
0.65
Step-by-step explanation:
The required standard deviation is 0.65
Given data is,
Computation:
[tex]\varepsilon_x\times P(X=x)=0\times 0.09+1\times0.42+2\times0.49\\=0.42+0.98\\=1.4[/tex]
Now,
[tex]E(X^2)=0^2\times 0.009+1^2\times 0.42+2^2\times 0.49\\=0.42+1.96\\=2.38\\\sigma ^2=E(X^2)-(E(X))^2\\=2.38-(1.4)^2\\=0.42\\\sigma =\sqrt{0.42}\\=0.65[/tex]
Learn More:https://brainly.com/question/22920224
solve the following using factoring x²+12=7×
Answer:
(x-4)(x-3)
Step-by-step explanation:
x^2+12=7x move the 7x to the other side
x^2-7x+12
(x-4)(x-3)
What is the answer ♀️
Answer:
c. 15in
Step-by-step explanation:
Answer:
C. 15 inches
Step-by-step explanation:
The perimeter of a traingle is all of the sides added together. If three sides equal 36, and 2 equal 21, then the remaining side would be 15. Hope this helps!
Write 0.115 as a fraction
Answer:
23/200
Step-by-step explanation: all you have to do is divide it lol
Answer:
23/200~ as simplified, 115/1000~ not simplified
Step-by-step explanation:
115/1000= 23/200
Hope this helps ∞<3
14 POINTS PLEASE HELP !!
The model represents a polynomial of the form ax^2 + box + c
which equation is represented in the model?
- 3x^2 - 4x - 1 = (3x + 1) (x -1)
- 3x^2 - 2x - 1 = (3x - 1 ) ( x - 1 )
- 3x^2 - 4x + 1 = (3x - 1 ) (x - 1 )
- 3x^2 - 2x + 1 = (3x - 1 ) (x - 1 )
Answer: C
Step-by-step explanation:
i just know
The area of the September is 336cm is all this model rectangles are exactly the same what is the perimeter of rectangle if the length of one rectangle is 12 CM
Answer:
Perimeter is 80cm
Step-by-step explanation:
A rectangle's area is calculated by multiplying the length by the width. If we are given the area of the rectangle and the length then we would simply need to solve for the width of the rectangle using the area formula we just mentioned...
A = l * w
336[tex]cm^{2}[/tex] = 12cm * w ... divide both sides by 12cm
28cm = w
Now we can see that the width of this rectangle is 28cm. To find the perimeter we need to add all four sides together, since we know that a rectangle's opposite sides are the same then we add the length and the width twice to calculate the perimeter (P)
P = 12cm + 12cm + 28cm + 28cm
P = 80cm
Select the correct answer.
What is the simplest form of the ratio 40:16?
ОА.
20:8
OB.
10:4
OC.
5:4
OD
5:2
OE.
10:8
Answer:
D: 5:2
Step-by-step explanation:
40:16 simplified is 5:2
The simplest form of the ratio 40:16 is 5:2.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
To find the simplest form of the ratio 40:16, we can divide both terms by their greatest common factor (GCF).
First, let's find the GCF of 40 and 16.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
The factors of 16 are 1, 2, 4, 8, and 16.
The largest number that appears in both lists is 8.
Therefore, the GCF of 40 and 16 is 8.
To simplify the ratio, we divide both terms by 8:
40 ÷ 8 = 5
16 ÷ 8 = 2
Thus,
The simplest form of the ratio 40:16 is 5:2.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ7
lisa sets a weekly goal of jogging 18 miles. after 3 days she has jogged 6 5/8 miles. How many more miles must she jog to reach her goal ?
choices:
11 5/8
12 3/8
11 3/8
12 5/8
PLEASSE HELP BFKDEK
Answer: 11 3/8
18 - 6 5/8 = 11 3/8
Please I beg you help me I will mark you brainliest
Answer:
Best answer would be D
Step-by-step explanation:
For A, the statement is only true with x as 1
For B, other values for x can make the equation wrong
And for C, it's just wrong.
help lol! the explanation is on the bottom!!
Answer:
1 =80
2 =100
3 =80
4 =100
6 = 100
7 =80
8 =100
Step-by-step explanation: since 5 and 7 are the same, if u slide the bottom up to the top, 1 and 3 would be the same as 5 and 7
2,4,6,and 8 are 180-80 which equals 100
Answer:
1, 3, 5, 7 = 80°
2, 4, 6, 8 = 100°
Step-by-step explanation:
1, 3, 5, and 7 are congruent to each other
2, 4, 6 and 8 are congruent to each other
1 + 2 + 3 + 4 = 360°
80° + x + 80° + x = 360°
160° + 2x = 360°
2x = 360° - 160°
2x/2 = 200°
x = 100°
10.) Sally cooks 6 pies and each pie is cut into 8 pieces. If she sells 36 pieces, what percentage did she sell
b
-
27 =43
I would really appreciate your help
Answer:
B = 70
Step-by-step explanation:
Answer:70
Step-by-step explanation:
HELP!! (Picture included)
Answer:
Wednesday
Step-by-step explanation:
Monday- ~5.6 as a decimal
Tuesday- 5.625 as a decimal
Wednesday- 5.375 as a decimal
Thursday- 5.8 as a decimal
therefore, Mrs.Mayes worked the least on Wednesday. Also she needs some break
Answer:
Wednesday
Step-by-step explanation:
For each of the fractions you can put them into decimals. Wednesday had the lowest decimal at 5.37
Please help.
write a compound inequality that represents the fahrenheit temperatures between 50 degrees celsius and 70 degrees celsius.
2. (05.04)
18x - 6
Simplify_9x
(2 points)
1
15x + 5
21x²
Please help!!
Answer:
i cant cus i am only the age of thirteen
How could you find the product 19. 14 in your head?
I need the answer ASAP
Answer:
like this do 4x9 4x1 then move down and add a zero then do 1x9 1x1 and then add 76 +190 and get 266 all in your head.
Step-by-step explanation:
19
x 14
_______
76
+ 190
______
266
test corrections....
What is the area of this parallelogram?
Answer:
A= 28
Step-by-step explanation:
To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
Find the percent change from 75 to 24.
212.5%
The percentage increase from 24 to 75 is 212.5%.
3v - 10 = -14 what is the answer
Answer:
v= -3/4
Step-by-step explanation:
i think that's the answer djxndnxnnx
Answer:
3v=-14 +10
3v=-4
v= - 4/3
Please mark as brainliest
I WILL GIVE BRAINLEST!!!!!!!
Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)
PLSSS SHOW YOUR WORK PLSSSS
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Let’s say that she has 10 dimes. 2(10)-5=Q
20-5=15
15 quarters
We doubled her dimes, and subtracted 5 to find quarters.
You can fill anything for D and remind true